Results 1 to 10 of about 123 (108)

Optimality Conditions for Group Sparse Constrained Optimization Problems [PDF]

Mathematics, 2021
In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
doaj   +2 more sources

Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions [PDF]

Journal of Function Spaces, 2016
We prove a new result of existence of equilibria for an u.s.c. set-valued mapping F on a compact set S of Rn which is epi-Lipschitz and satisfies a weak tangential condition.
Messaoud Bounkhel
doaj   +2 more sources

A Characterization of Clarke's Strict Tangent Cone Via Nonlinear Semigroups [PDF]

Proceedings of the American Mathematical Society, 1985
Clarke’s strict tangent cone T X ↑
exaly   +2 more sources

Clarke’s Tangent Cones, Subgradients, Optimality Conditions, and the Lipschitzness at Infinity

SIAM Journal on Optimization
We first study Clarke's tangent cones at infinity to unbounded subsets of $\mathbb{R}^n.$ We prove that these cones are closed convex and show a characterization of their interiors. We then study subgradients at infinity for extended real value functions on $\mathbb{R}^n$ and derive necessary optimality conditions at infinity for optimization problems.
Tiến-Sơn Pham
exaly   +4 more sources

Magnetosphere-Ionosphere-Thermosphere Coupling Study at Jupiter Based on Juno's First 30 Orbits and Modeling Tools. [PDF]

J Geophys Res Space Phys, 2022
Abstract The dynamics of the Jovian magnetosphere is controlled by the interplay of the planet's fast rotation, its solar‐wind interaction and its main plasma source at the Io torus, mediated by coupling processes involving its magnetosphere, ionosphere, and thermosphere.
Al Saati S, Clément N, Louis C, Blanc M, Wang Y, André N, André N, Lamy L, Bonfond B, Collet B, Allegrini F, Bolton S, Clark G, Connerney JEP, Gérard JC, Gladstone GR, Kotsiaros S, Kurth WS, Mauk B.   +18 more
europepmc   +2 more sources

Strong Invariance Using Control Barrier Functions: A Clarke Tangent Cone Approach [PDF]

2020 59th IEEE Conference on Decision and Control (CDC), 2020
Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forward-invariant involves computing control input using Control Barrier Functions and Quadratic Programming methods.
James Usevitch, Kunal Garg, Dimitra Panagou   +2 more
openaire   +2 more sources

Computed tomography scan measurements of the globe and orbit to assess the risks of traumatic complications from medial peribulbar anaesthesia. [PDF]

BMC Anesthesiol, 2022
Clarke J, Seah HM, Foo A, Agzarian M, Lake S.   +4 more
europepmc   +1 more source

Analysis of inferior nasal turbinate volume in subjects with nasal septum deviation: a retrospective cone beam tomography study. [PDF]

PeerJ, 2022
Shetty S, Al-Bayatti S, Alam MK, Al-Rawi NH, Kamath V, Tippu SR, Narasimhan S, Al Kawas S, Elsayed W, Rao K, Castelino R.   +10 more
europepmc   +1 more source

Analytical Models for Measuring the Mechanical Properties of Yeast. [PDF]

Cells, 2023
Savin N, Erofeev A, Gorelkin P.
europepmc   +1 more source

Fit-for-purpose conformal mapping for sustainable land administration in war-ravaged Syria. [PDF]

Heliyon, 2022
Habib M.
europepmc   +1 more source